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  • Differentiate each of the functions w.r. to x in (3x + 5) (1 + tan x)

Differentiate each of the functions w.r. to x in

(3x + 5) (1 + tan x)

Answers (1)

    Given that y= \left( 3x+5 \right) \left( 1+\tan x \right) ~ \\ \\

   Applying product rule of differentiation we get
 \\ \frac{dy}{dx}= \left( 1+\tan x \right) \frac{d}{dx} \left( 3x+5 \right) + \left( 3x+5 \right) \frac{d}{dx} \left( 1+\tan x \right) \\ \\ =3 \left( 1+\tan x \right) + \left( 3x+5 \right) \sec ^{2}x \\ \\

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infoexpert21

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